Using a graph paper- draw an ogive for the following distribution which shows the marks obtained in the General Knowledge paper by 100NO- - of - Student-5-10-20-25-15-12-9-4111hline lend array Use the ogive to estimate-i the median-ii the number of students who score marks above 65 -A- 38-8B- 36-8C- 8-36D- 36-10

The correct option is B 36, 8 [ Marks amp;No. of students amp;c.f; 0 10 amp;5 amp;5; ...

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Byju's Answer

Standard X

Mathematics

Median

Using a graph...

Question

Using a graph paper, draw an ogive for the following distribution which shows the marks obtained in the General Knowledge paper by 100

$\begin{matrix} M a r k s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 N O . o f S t u d e n t & 5 & 10 & 20 & 25 & 15 & 12 & 9 & 4 \end{matrix}$

Use the ogive to estimate:

(i) the median.
(ii) the number of students who score marks above 65 .

36, 10

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38, 8

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36, 8

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8, 36

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Solution

The correct option is C
36, 8

$\begin{matrix} M a r k s & N o . o f s t u d e n t s & c . f 0 - 10 & 5 & 5 10 - 20 & 10 & 15 20 - 30 & 20 & 35 30 - 40 & 25 & 60 40 - 50 & 15 & 75 50 - 60 & 12 & 87 60 - 70 & 9 & 96 70 - 80 & 4 & 100 100 \end{matrix}$

Here n = 100, which is even.

i) Median = (n/2)^th term = 50^th term

From the graph we observe that median is = 36.

ii) The number of students who score above 65 = 100 – 92

= 8

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Similar questions

Q. The marks obtained by

120

students in a test are given below.

Marks	No. of students
$0 - 10$	$5$
$10 - 20$	$9$
$20 - 30$	$16$
$30 - 40$	$22$
$40 - 50$	$26$
$50 - 60$	$18$
$60 - 70$	$11$
$70 - 80$	$6$
$80 - 90$	$4$
$90 - 100$	$3$

Draw an ogive for the given distribution on a graph sheet. Using suitable scale for ogive to estimate the following:
(i) The median.
(ii) The number of students who obtained more than

75 %

marks in the test.
(iii) The number of students who did not pass the test if minimum marks required to pass is

40

Draw a Ogive for the following distribution which shows the marks of 100 students,then find the median

$\begin{matrix} Marks & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 & 50-60 & 60-70 & 70-80 Number of students & 5 & 10 & 20 & 25 & 15 & 12 & 9 & 4 \end{matrix}$

The given table shows the Marks obtained by students in Mathematics.

$\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$

Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

The given table shows the Marks obtained by students in Mathematics.

$\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$

Using the table determine the Lower Quartile by drawing an ogive curve.

Marks obtained by 200 students in an examination are given below: Draw an ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. Using the graph, determine

(i) The median marks.

(ii) The number of students who failed if minimum marks required to pass in the exam is 40.

(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade one in the examination.

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